Base | Representation |
---|---|
bin | 1101011110011… |
… | …10001110000000 |
3 | 21212201010220000 |
4 | 12233032032000 |
5 | 212414323204 |
6 | 15114520000 |
7 | 2541562254 |
oct | 657161600 |
9 | 255633800 |
10 | 113042304 |
11 | 5889a3a1 |
12 | 31a36000 |
13 | 1a55c04b |
14 | 11028264 |
15 | 9dce039 |
hex | 6bce380 |
113042304 has 80 divisors (see below), whose sum is σ = 336442920. Its totient is φ = 37677312.
The previous prime is 113042297. The next prime is 113042311. The reversal of 113042304 is 403240311.
It is an interprime number because it is at equal distance from previous prime (113042297) and next prime (113042311).
It is a super-3 number, since 3×1130423043 (a number of 25 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4917 + ... + 15819.
Almost surely, 2113042304 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 113042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168221460).
113042304 is an abundant number, since it is smaller than the sum of its proper divisors (223400616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113042304 is an equidigital number, since it uses as much as digits as its factorization.
113042304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10929 (or 10908 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 113042304 is about 10632.1354393179. The cubic root of 113042304 is about 483.5191362802.
Adding to 113042304 its reverse (403240311), we get a palindrome (516282615).
It can be divided in two parts, 1130 and 42304, that added together give a palindrome (43434).
The spelling of 113042304 in words is "one hundred thirteen million, forty-two thousand, three hundred four".
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